Orbital Analysis for matched events on 20210813_013222.454_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 65.76° Bg 39.61° Vg 58.88km/s
mass 0.03399g, abs. mag -0.5
Path Details
------------
start 0.67° 52.87° 108.96km
end   0.56° 52.82° 95.97km

Orbit Details
-------------
Semimajor axis -368.70A.U., eccentricity 1.00, inclination 110.87°, Period 1000000000.00Y, LA Sun 140.25°, 

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459439.564148781821
Time: 2021-08-13 01:32:22.494620 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 16.96399 deg
 R.A. =  50.62153  Dec = +59.58506 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 16.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3799750.93 +/- 139.04 m
 Y =   -983251.08 +/- 51.07 m
 Z =   5150523.20 +/- 125.27 m
 Vx =    18923.12 +/- 573.51 m/s
 Vy =    23247.04 +/- 196.98 m/s
 Vz =    51879.56 +/- 377.98 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.700861e+04, +1.252840e+04, +3.121158e+04, +1.282444e+05, +4.976129e+03, +1.962539e+04
+1.252840e+04, +4.464104e+03, +1.060760e+04, +4.336517e+04, +2.895755e+03, +6.516802e+03
+3.121158e+04, +1.060760e+04, +2.658705e+04, +1.063561e+05, +3.944408e+03, +1.635367e+04
+1.282444e+05, +4.336517e+04, +1.063561e+05, +5.163299e+05, +2.854253e+04, +6.848703e+04
+4.976129e+03, +2.895755e+03, +3.944408e+03, +2.854253e+04, +9.999370e+03, +2.794430e+03
+1.962539e+04, +6.516802e+03, +1.635367e+04, +6.848703e+04, +2.794430e+03, +1.231046e+04

Timing offsets (from input data):
    UK002K: -0.000662 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:32:22.494620 UTC
  Lon     = ++0.684945 +/- 0.0012 deg
  Lat     = +52.873332 +/- 0.0003 deg
  Lat geo = +52.691138 +/- 0.0003 deg
  Ht      =  110922.88 +/- 172.37 m

  JD dynamic   = 2459439.564949984197 
  LST apparent = 345.4919629176 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  50.85437 +/- 0.8165 deg
  Dec       = +59.98140 +/- 0.2880 deg
  Azimuth   =  51.91753 +/- 0.6867 deg
  Elevation = +54.70968 +/- 0.3019 deg
  Vavg      =  56.78097 +/- 0.5882 km/s
  Vinit     =  59.91660 +/- 0.2627 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  51.08046 +/- 0.8165 deg
  Dec       = +59.76627 +/- 0.2880 deg
  Azimuth   =  52.20784 +/- 0.6867 deg
  Elevation = +54.53388 +/- 0.3019 deg
  Vavg      =  56.91166 +/- 0.5882 km/s
  Vinit     =  60.04729 +/- 0.2627 km/s
Radiant (geocentric, J2000):
  R.A.   =  51.02056 +/- 0.8280 deg
  Dec    = +59.80603 +/- 0.2869 deg
  Vg     =  58.88032 +/- 0.2674 km/s
  Vinf   =  59.91660 +/- 0.2627 km/s
  Zc     =  35.40295 +/- 0.3035 deg
  Zg     =  35.72198 +/- 0.3092 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  65.75590 +/- 0.6263 deg
  Bg     = +39.60630 +/- 0.1492 deg
  Vh     =  41.87498 +/- 0.1049 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.79215 +/- 1.7582 deg
  Bh     = +63.69012 +/- 0.1082 deg
  Vh_x   =  -0.06733 +/- 0.5664 km/s
  Vh_y   = -18.55995 +/- 0.0974 km/s
  Vh_z   = -37.53715 +/- 0.0935 km/s
Orbit:
  La Sun = 140.250096 +/- 0.0000 deg
  a      = -368.697066 +/- 1010.3607 AU
  e      =   1.002530 +/- 0.0091
  i      = 110.871600 +/- 0.5243 deg
  peri   = 147.265735 +/- 1.3392 deg
  node   = 140.250040 +/- 0.0000 deg
  Pi     = 287.515775 +/- 1.3391 deg
  q      =   0.932679 +/- 0.0062 AU
  f      =  32.730614 +/- 1.3392 deg
  M      =        nan +/- nan deg
  Q      = -738.326810 +/- 2020.7228 AU
  n      =   0.000139 +/- 0.0014 deg/day
  T      = 1000000000.000000 +/- 498881867.5765 years
  Last perihelion JD = NaN 
  Tj     =  -0.440981 +/- 0.0615
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.668161e-05, +7.002995e-05, +9.518944e-03, -6.678582e-09, +2.649580e-04, +9.853990e-05
q   , +7.002995e-05, +6.223459e-05, +8.329851e-03, -5.988082e-09, +2.341757e-04, +8.824268e-05
Tp  , +9.518944e-03, +8.329851e-03, +1.116184e+00, -8.013027e-07, +3.135687e-02, +1.180920e-02
node, -6.678582e-09, -5.988082e-09, -8.013027e-07, +6.165860e-13, -2.253327e-08, -9.079851e-09
peri, +2.649580e-04, +2.341757e-04, +3.135687e-02, -2.253327e-08, +8.813028e-04, +3.320667e-04
i   , +9.853990e-05, +8.824268e-05, +1.180920e-02, -9.079851e-09, +3.320667e-04, +1.337121e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 1.770e-06 s
  Stddev    = 1.33e-03 s

Begin point on the trajectory:
  Lon =     0.669002 +/- 0.0010 deg
  Lat =    52.865771 +/- 0.0002 deg
  Ht  = 108963.00 +/- 142.07 m
End point on the trajectory:
  Lon =     0.561979 +/- 0.0011 deg
  Lat =    52.815447 +/- 0.0003 deg
  Ht  = 95969.27 +/- 138.77 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.034958,  29.445777,   107398.80,    96229.97,          0.009862,     20.83,     13.39,              50.15, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_013218_804_0474624.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108963.00,    95969.27,          0.009959,     18.64,      5.40,              27.30, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_013215_012_0480512.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK002K,       1,  0.032785, 2459439.564149168786,  14.41229,  16.29842,              136.28804,  46.03403,       136.29327,       46.03804,     14.41229,     +16.29842,      14.40723,      +16.30048,  3799053.12,  -984108.34,  5148610.08,      52.866375,       +0.670303,  109119.52,  150382.25,       0.00,             2209.49,   666.28,      0.00,           53758.11,     -7.67,    -11.92,          19.44,  +6.19,  +5.30
  1,     UK002K,       0,  0.073073, 2459439.564149635378,  14.16712,  15.71324,              136.95075,  45.60431,       136.96518,       45.61526,     14.16712,     +15.71324,      14.15313,      +15.71892,  3798387.21,  -984926.42,  5146784.41,      52.859731,       +0.656133,  107398.80,  149059.08,    2108.50,             4317.99,   360.86,  52335.61,           53758.11,    -20.96,    -32.58,          53.60,  +1.77,  +0.90
  2,     UK002K,       0,  0.113337, 2459439.564150101040,  13.90586,  15.14788,              137.61330,  45.19609,       137.61445,       45.19696,     13.90586,     +15.14788,      13.90521,      +15.14833,  3797745.36,  -985714.92,  5145024.74,      52.853323,       +0.642466,  105740.48,  147800.95,    4140.77,             6350.27,   -19.35,  50473.81,           53758.11,     -1.65,     -2.56,           4.25,  +1.30,  +0.45
  3,     UK002K,       0,  0.153669, 2459439.564150568098,  13.60804,  14.46122,              138.38313,  44.68865,       138.38257,       44.68824,     13.60804,     +14.46122,      13.60924,      +14.46101,  3796986.84,  -986646.76,  5142945.18,      52.845743,       +0.626341,  103780.98,  146337.67,    6542.49,             8751.98,   -34.19,  59548.61,           53758.11,      0.80,      1.24,           2.08,  +0.65,  -0.18
  4,     UK002K,       0,  0.194017, 2459439.564151035156,  13.29221,  13.73618,              139.18535,  44.14899,       139.17977,       44.14488,     13.29221,     +13.73618,      13.29849,      +13.73401,  3796201.02,  -987612.15,  5140790.77,      52.837883,       +0.609638,  101751.23,  144848.48,    9030.66,            11240.15,    36.47,  61667.75,           55812.37,      7.84,     12.20,          20.65,  +0.59,  -0.21
  5,     UK002K,       0,  0.234365, 2459439.564151502214,  12.99351,  13.02372,              139.94713,  43.60997,       139.94518,       43.60854,     12.99351,     +13.02372,      12.99640,      +13.02296,  3795447.99,  -988537.25,  5138726.26,      52.830344,       +0.593621,   99806.47,  143447.37,   11415.00,            13624.49,     3.29,  59094.34,           56868.11,      2.72,      4.23,           7.23,  +0.57,  -0.21
  6,     UK002K,       0,  0.274721, 2459439.564151969273,  12.69222,  12.29516,              140.70893,  43.05304,       140.71265,       43.05573,     12.69222,     +12.29516,      12.68974,      +12.29659,  3794693.85,  -989463.70,  5136658.73,      52.822788,       +0.577576,   97859.15,  142070.65,   13802.82,            16012.31,   -26.89,  59168.89,           57491.68,     -5.12,     -7.98,          13.76,  +0.53,  -0.23
  7,     UK002K,       0,  0.315033, 2459439.564152435865,  12.44702,  11.67027,              141.33659,  42.56724,       141.35617,       42.58131,     12.44702,     +11.67027,      12.42926,      +11.67782,  3794062.86,  -990238.88,  5134928.79,      52.816460,       +0.564121,   96229.97,  140938.75,   15800.76,            18010.25,  -444.30,  49562.00,           57090.68,    -26.79,    -41.68,          72.52,  +1.22,  +0.47
  8,     UK002K,       1,  0.355301, 2459439.564152901992,  12.25159,  11.14385,              141.84507,  42.15175,       141.88770,       42.18218,     12.25159,     +11.14385,      12.21161,      +11.16026,  3793542.79,  -990877.78,  5133502.98,      52.811241,       +0.553000,   94887.34,  140019.59,   17447.45,            19656.94, -1210.33,  40893.21,           55825.44,    -58.00,    -90.15,         157.92,  +6.39,  +5.66
  0,     UK0032,       1,  0.000000, 2459439.564148781821,  17.30061,  41.71688,              104.25555,  65.54348,       104.26412,       65.66060,     17.30061,     +41.71688,      17.17486,      +41.78710,  3799721.41,  -983287.35,  5150442.25,      52.873038,       +0.684490,  110846.57,  121440.62,       0.00,               93.49,   514.64,      0.00,           56204.56,    -70.30,   -238.20,         421.84,  +5.94,  +5.52
  1,     UK0032,       0,  0.039852, 2459439.564149243291,  16.76449,  41.37751,              105.50479,  65.64197,       105.50535,       65.64694,     16.76449,     +41.37751,      16.75934,      +41.38049,  3798992.55,  -984182.75,  5148444.03,      52.865771,       +0.669002,  108963.00,  119393.01,    2307.78,             2401.26,   434.62,  57908.66,           56204.56,     -2.89,     -9.96,          17.92,  +2.90,  +2.52
  2,     UK0032,       0,  0.079796, 2459439.564149705227,  16.37068,  40.98114,              106.70259,  65.61613,       106.70391,       65.62446,     16.37068,     +40.98114,      16.36213,      +40.98610,  3798310.85,  -985020.22,  5146575.09,      52.858969,       +0.654502,  107201.52,  117486.47,    4466.25,             4559.74,   199.79,  54037.63,           56204.56,     -4.77,    -16.43,          30.04,  +1.50,  +1.15
  3,     UK0032,       0,  0.119740, 2459439.564150167629,  15.94570,  40.54329,              108.01414,  65.57507,       108.01697,       65.58863,     15.94570,     +40.54329,      15.93174,      +40.55133,  3797586.81,  -985909.71,  5144590.04,      52.851739,       +0.639107,  105330.86,  115471.68,    6758.82,             6852.30,    99.04,  57394.36,           56204.56,     -7.65,    -26.35,          49.01,  +0.88,  +0.57
  4,     UK0032,       0,  0.159660, 2459439.564150629565,  15.47006,  40.09736,              109.40224,  65.55028,       109.39916,       65.53843,     15.47006,     +40.09736,      15.48334,      +40.09036,  3796848.48,  -986816.74,  5142565.84,      52.844359,       +0.623408,  103423.56,  113428.29,    9096.60,             9190.09,    44.96,  58561.83,           56722.87,      6.55,     22.66,          42.90,  +0.54,  +0.27
  5,     UK0032,       0,  0.199608, 2459439.564151091967,  15.02635,  39.60710,              110.82910,  65.46941,       110.83021,       65.47293,     15.02635,     +39.60710,      15.02344,      +39.60917,  3796107.79,  -987726.68,  5140535.18,      52.836950,       +0.607656,  101510.45,  111390.24,   11441.85,            11535.34,    -3.34,  58707.49,           57154.64,     -1.92,     -6.64,          12.79,  +0.32,  +0.09
  6,     UK0032,       0,  0.239552, 2459439.564151554368,  14.56614,  39.10344,              112.29616,  65.37971,       112.30042,       65.39118,     14.56614,     +39.10344,      14.55495,      +39.11015,  3795369.91,  -988633.16,  5138512.21,      52.829562,       +0.591959,   99604.85,  109372.34,   13778.21,            13871.70,   -60.29,  58490.94,           57452.04,     -6.16,    -21.27,          41.76,  +0.34,  +0.15
  7,     UK0032,       0,  0.279476, 2459439.564152016304,  14.05597,  38.58050,              113.85689,  65.29461,       113.85425,       65.28844,     14.05597,     +38.58050,      14.06370,      +38.57691,  3794613.21,  -989562.76,  5136437.65,      52.821979,       +0.575862,   97650.93,  107316.74,   16174.16,            16267.65,   -56.45,  60012.66,           57789.27,      3.26,     11.27,          22.56,  +0.32,  +0.17
  8,     UK0032,       0,  0.319436, 2459439.564152479172,  13.64361,  38.09211,              115.22361,  65.17079,       115.23004,       65.18413,     13.64361,     +38.09211,      13.63074,      +38.09987,  3793961.87,  -990362.94,  5134651.93,      52.815447,       +0.561979,   95969.27,  105558.40,   18236.51,            18330.00,  -388.36,  51610.44,           57534.39,     -6.97,    -24.09,          49.00,  +1.17,  +1.05
  9,     UK0032,       1,  0.359408, 2459439.564152941573,  13.16799,  37.48244,              116.86421,  64.98355,       116.89439,       65.03881,     13.16799,     +37.48244,      13.11052,      +37.51449,  3793194.23,  -991305.98,  5132547.37,      52.807741,       +0.545644,   93987.63,  103501.55,   20667.10,            20760.59,  -352.76,  60807.31,           57583.37,    -28.59,    -98.37,         204.15,  +5.79,  +5.72

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.